488512 has 28 divisors (see below), whose sum is σ = 1028700. Its totient is φ = 229376.

The previous prime is 488503. The next prime is 488513. The reversal of 488512 is 215884.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 147456 = 584^2 + 384^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 864 + ... + 1312.

2⁴⁸⁸⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514350).

488512 is an abundant number, since it is smaller than the sum of its proper divisors (540188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

488512 is a wasteful number, since it uses less digits than its factorization.

488512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 488512 is about 698.9363347258. The cubic root of 488512 is about 78.7574680077.

It can be divided in two parts, 488 and 512, that added together give a cube (1000 = 10³).

The spelling of 488512 in words is "four hundred eighty-eight thousand, five hundred twelve".